Subsheaves of the cotangent bundle

Paolo Cascini

Open Mathematics (2006)

  • Volume: 4, Issue: 2, page 209-224
  • ISSN: 2391-5455

Abstract

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For any smooth projective variety, we study a birational invariant, defined by Campana which depends on the Kodaira dimension of the subsheaves of the cotangent bundle of the variety and its exterior powers. We provide new bounds for a related invariant in any dimension and in particular we show that it is equal to the Kodaira dimension of the variety, in dimension up to 4, if this is not negative.

How to cite

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Paolo Cascini. "Subsheaves of the cotangent bundle." Open Mathematics 4.2 (2006): 209-224. <http://eudml.org/doc/269475>.

@article{PaoloCascini2006,
abstract = {For any smooth projective variety, we study a birational invariant, defined by Campana which depends on the Kodaira dimension of the subsheaves of the cotangent bundle of the variety and its exterior powers. We provide new bounds for a related invariant in any dimension and in particular we show that it is equal to the Kodaira dimension of the variety, in dimension up to 4, if this is not negative.},
author = {Paolo Cascini},
journal = {Open Mathematics},
keywords = {14E05 14J35},
language = {eng},
number = {2},
pages = {209-224},
title = {Subsheaves of the cotangent bundle},
url = {http://eudml.org/doc/269475},
volume = {4},
year = {2006},
}

TY - JOUR
AU - Paolo Cascini
TI - Subsheaves of the cotangent bundle
JO - Open Mathematics
PY - 2006
VL - 4
IS - 2
SP - 209
EP - 224
AB - For any smooth projective variety, we study a birational invariant, defined by Campana which depends on the Kodaira dimension of the subsheaves of the cotangent bundle of the variety and its exterior powers. We provide new bounds for a related invariant in any dimension and in particular we show that it is equal to the Kodaira dimension of the variety, in dimension up to 4, if this is not negative.
LA - eng
KW - 14E05 14J35
UR - http://eudml.org/doc/269475
ER -

References

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